document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12234>Question 12234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> OK , here is the problem, solve for x.<BR>\n" );
document.write( "x^(1+ln x)= 7,39<BR>\n" );
document.write( "Doesnīt look that complicated but I keep getting stuck.<BR>\n" );
document.write( "Incidentally Iīve discovered that 7,39 = e^2 and I think that the answer for x = square root of 7,39, but donīt know how to get there.<BR>\n" );
document.write( "Thanks in advance for any assistance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6198 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=6198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2Blnx%29+=+7.39 ALIGN=MIDDLE  ALT=\"x%5E%281%2Blnx%29+=+7.39\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "OK, take logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Blnx%29lnx+=+ln%287.39%29 ALIGN=MIDDLE  ALT=\"%281%2Blnx%29lnx+=+ln%287.39%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lnx+%2B+%28lnx%29%5E2+=+2 ALIGN=MIDDLE  ALT=\"lnx+%2B+%28lnx%29%5E2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28lnx%29%5E2+%2B+lnx+-2+=+0 ALIGN=MIDDLE  ALT=\"%28lnx%29%5E2+%2B+lnx+-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK, this is a quadratic, so letting y=lnx, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+y+-+2+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+y+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This factorises to (y+2)(y-1) = 0, so that \r<BR>\n" );
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document.write( "y+2 = 0 OR y-1 = 0\r<BR>\n" );
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document.write( "--> y = -2 or y = 1\r<BR>\n" );
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document.write( "Hence<BR>\n" );
document.write( "lnx = -2 OR lnx = 1\r<BR>\n" );
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document.write( "--><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+e%5E%28-2%29 ALIGN=MIDDLE  ALT=\"x+=+e%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x = e\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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